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Finding the Fourth Proportional to 2,650.50, 3,655.71 and 2,233.14

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Solution

The fourth proportional to 2,650.50, 3,655.71 and 2,233.14 is: 3,080.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650.50 : 3,655.71 = 2,233.14 : x
  2. Step 2: Convert to fraction form
    2,650.50/3,655.71 = 2,233.14/x
  3. Step 3: Cross multiply
    2,650.50x = 3,655.71 × 2,233.14
  4. Step 4: Simplify right side
    2,650.50x = 8,163,712.23
  5. Step 5: Solve for x
    x = 8,163,712.23/2,650.50
  6. Step 6: Final answer
    x = 3,080.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.